GCD of 824, 870, 796, 295 Calculator

Given Input numbers are 824, 870, 796, 295

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 824, 870, 796, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 870, 796, 295 is 1.

Therefore, GCD of numbers 824, 870, 796, 295 is 1

Given Input Data is 824, 870, 796, 295

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 295 is 5 x 59

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(824, 870) = 358440

GCD(824, 870) = ( 824 x 870 ) / 358440

GCD(824, 870) = 716880 / 358440

GCD(824, 870) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 295

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 295) = 590

GCD(2, 295) = ( 2 x 295 ) / 590

GCD(2, 295) = 590 / 590

GCD(2, 295) = 1

GCD of 824, 870, 796, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 596, 168, 838
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• GCD of 622, 756, 729, 383

1. What is the GCD of 824, 870, 796, 295?

GCD of 824, 870, 796, 295 is 1

2. Where do I get the detailed procedure to find GCD of 824, 870, 796, 295?

You can find a detailed procedure to find GCD of 824, 870, 796, 295 on our page.

3. How to find GCD of 824, 870, 796, 295 on a calculator?

You can find the GCD of 824, 870, 796, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.